26728032 has 48 divisors (see below), whose sum is σ = 70701120. Its totient is φ = 8840832.

The previous prime is 26728019. The next prime is 26728033. The reversal of 26728032 is 23082762.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26728033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12343 + ... + 14345.

It is an arithmetic number, because the mean of its divisors is an integer number (1472940).

Almost surely, 2^26728032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35350560).

26728032 is an abundant number, since it is smaller than the sum of its proper divisors (43973088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26728032 is a wasteful number, since it uses less digits than its factorization.

26728032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 26728032 is about 5169.9160534771. The cubic root of 26728032 is about 298.9893099536.

The spelling of 26728032 in words is "twenty-six million, seven hundred twenty-eight thousand, thirty-two".